Q.No : 45. The diameter of a wheel is 2 cm. If it rolls forward covering 10 revolutions, then find the distance travelled by it?
Answers
Answer:
Distance covered by the wheel in 10 revolutions is 440 / 7 cm.
Step-by-step explanation:
Given that the diameter of a wheel is 2 cm.
We know, diameter of a circle is twice the radius of that circle.
It means, diameter = 2 cm
= > 2 x radius = 2 x 1 cm
= > radius = 1 cm
Thus radius of that wheel is of 1 cm.
On observing the condition : one round of circle covers the distance equal to its circumference.
Then ,
= > Circumference of wheel = 2πr [ circumference = 2πr, formula ]
= > Circumference of wheel = 2 x 22 / 7 x 1 cm
= > Circumference of wheel = 44 / 7 cm
This means, distance covered by the wheel in one revolution is 44 / 7 cm.
In 10 revolutions : -
= > Distance covered by wheel = 10 x distance covered in one round.
= > Distance covered by wheel = 10 x 44 / 7 cm
= > Distance covered by wheel = 440 / 7 cm.
Hence the distance covered by the wheel in 10 revolutions is 440 / 7 cm.